Asymptotic analysis of singular solutions of the scalar and mean curvature equations - Semantic Scholar

We show that positive solutions of a semilinear elliptic problem in the Sobolev critical exponent with Newmann conditions, related to conformal deformation of metrics in R n + , are asymptotically symmetric in a neighborhood of the origin. As a consequence, we prove for a related problem of conforma...

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Autores:
Yaker Agudelo, Hendel
Tipo de recurso:
Article of investigation
Fecha de publicación:
2005
Institución:
Universidad ICESI
Repositorio:
Repositorio ICESI
Idioma:
eng
OAI Identifier:
oai:repository.icesi.edu.co:10906/79597
Acceso en línea:
https://www.semanticscholar.org/paper/Asymptotic-analysis-of-singular-solutions-of-the-García-Yaker/bd901ab93340c8f5c83b8e6a020b665ad58147b3
http://www.hindawi.com/journals/ijmms/2005/641294/abs/
https://www.hindawi.com/journals/ijmms/2005/641294/abs/
http://hdl.handle.net/10906/79597
Palabra clave:
Ingeniería de producción
Production engineering
Rights
openAccess
License
https://creativecommons.org/licenses/by-nc-nd/4.0/
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repository_id_str
spelling Yaker Agudelo, Hendel2016-06-30T14:40:53Z2016-06-30T14:40:53Z2005-01-180161-1712https://www.semanticscholar.org/paper/Asymptotic-analysis-of-singular-solutions-of-the-García-Yaker/bd901ab93340c8f5c83b8e6a020b665ad58147b3http://www.hindawi.com/journals/ijmms/2005/641294/abs/https://www.hindawi.com/journals/ijmms/2005/641294/abs/http://hdl.handle.net/10906/79597instname: Universidad Icesireponame: Biblioteca Digitalrepourl: https://repository.icesi.edu.co/We show that positive solutions of a semilinear elliptic problem in the Sobolev critical exponent with Newmann conditions, related to conformal deformation of metrics in R n + , are asymptotically symmetric in a neighborhood of the origin. As a consequence, we prove for a related problem of conformal deformation of metrics in R n + that if a solution satisfies a Kazdan-Warner-type identity, then the conformal metric can be realized as a smooth metric on S n + .Digitalapplication/pdfengHindawi Publishing CorporationInternational Journal of Mathematics and Mathematical Sciences, 5EL AUTOR, expresa que la obra objeto de la presente autorización es original y la elaboró sin quebrantar ni suplantar los derechos de autor de terceros, y de tal forma, la obra es de su exclusiva autoría y tiene la titularidad sobre éste. PARÁGRAFO: en caso de queja o acción por parte de un tercero referente a los derechos de autor sobre el artículo, folleto o libro en cuestión, EL AUTOR, asumirá la responsabilidad total, y saldrá en defensa de los derechos aquí autorizados; para todos los efectos, la Universidad Icesi actúa como un tercero de buena fe. Esta autorización, permite a la Universidad Icesi, de forma indefinida, para que en los términos establecidos en la Ley 23 de 1982, la Ley 44 de 1993, leyes y jurisprudencia vigente al respecto, haga publicación de este con fines educativos. Toda persona que consulte ya sea la biblioteca o en medio electrónico podrá copiar apartes del texto citando siempre la fuentes, es decir el título del trabajo y el autor.https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessAtribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)http://purl.org/coar/access_right/c_abf2Ingeniería de producciónProduction engineeringAsymptotic analysis of singular solutions of the scalar and mean curvature equations - Semantic Scholarinfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_2df8fbb1Artículoinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85Comunidad Universidad Icesi – Investigadores20055679TEXTyaker_asymptotic_analysis_2005.pdf.txtyaker_asymptotic_analysis_2005.pdf.txttext/plain37379http://repository.icesi.edu.co/biblioteca_digital/bitstream/10906/79597/2/yaker_asymptotic_analysis_2005.pdf.txt4f32e983f1f03525bce22af1fc5cf0b6MD52ORIGINALyaker_asymptotic_analysis_2005.pdfyaker_asymptotic_analysis_2005.pdfapplication/pdf1955951http://repository.icesi.edu.co/biblioteca_digital/bitstream/10906/79597/1/yaker_asymptotic_analysis_2005.pdf02110edc738f7b61fd4bdc0fea6ff88aMD5110906/79597oai:repository.icesi.edu.co:10906/795972020-05-26 17:16:12.1Biblioteca Digital - Universidad icesicdcriollo@icesi.edu.co
dc.title.eng.fl_str_mv Asymptotic analysis of singular solutions of the scalar and mean curvature equations - Semantic Scholar
title Asymptotic analysis of singular solutions of the scalar and mean curvature equations - Semantic Scholar
spellingShingle Asymptotic analysis of singular solutions of the scalar and mean curvature equations - Semantic Scholar
Ingeniería de producción
Production engineering
title_short Asymptotic analysis of singular solutions of the scalar and mean curvature equations - Semantic Scholar
title_full Asymptotic analysis of singular solutions of the scalar and mean curvature equations - Semantic Scholar
title_fullStr Asymptotic analysis of singular solutions of the scalar and mean curvature equations - Semantic Scholar
title_full_unstemmed Asymptotic analysis of singular solutions of the scalar and mean curvature equations - Semantic Scholar
title_sort Asymptotic analysis of singular solutions of the scalar and mean curvature equations - Semantic Scholar
dc.creator.fl_str_mv Yaker Agudelo, Hendel
dc.contributor.author.spa.fl_str_mv Yaker Agudelo, Hendel
dc.subject.spa.fl_str_mv Ingeniería de producción
topic Ingeniería de producción
Production engineering
dc.subject.eng.fl_str_mv Production engineering
description We show that positive solutions of a semilinear elliptic problem in the Sobolev critical exponent with Newmann conditions, related to conformal deformation of metrics in R n + , are asymptotically symmetric in a neighborhood of the origin. As a consequence, we prove for a related problem of conformal deformation of metrics in R n + that if a solution satisfies a Kazdan-Warner-type identity, then the conformal metric can be realized as a smooth metric on S n + .
publishDate 2005
dc.date.issued.none.fl_str_mv 2005-01-18
dc.date.accessioned.none.fl_str_mv 2016-06-30T14:40:53Z
dc.date.available.none.fl_str_mv 2016-06-30T14:40:53Z
dc.type.eng.fl_str_mv info:eu-repo/semantics/article
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dc.identifier.issn.none.fl_str_mv 0161-1712
dc.identifier.other.eng.fl_str_mv https://www.semanticscholar.org/paper/Asymptotic-analysis-of-singular-solutions-of-the-García-Yaker/bd901ab93340c8f5c83b8e6a020b665ad58147b3
http://www.hindawi.com/journals/ijmms/2005/641294/abs/
https://www.hindawi.com/journals/ijmms/2005/641294/abs/
dc.identifier.uri.eng.fl_str_mv http://hdl.handle.net/10906/79597
dc.identifier.instname.none.fl_str_mv instname: Universidad Icesi
dc.identifier.reponame.none.fl_str_mv reponame: Biblioteca Digital
dc.identifier.repourl.none.fl_str_mv repourl: https://repository.icesi.edu.co/
identifier_str_mv 0161-1712
instname: Universidad Icesi
reponame: Biblioteca Digital
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url https://www.semanticscholar.org/paper/Asymptotic-analysis-of-singular-solutions-of-the-García-Yaker/bd901ab93340c8f5c83b8e6a020b665ad58147b3
http://www.hindawi.com/journals/ijmms/2005/641294/abs/
https://www.hindawi.com/journals/ijmms/2005/641294/abs/
http://hdl.handle.net/10906/79597
dc.language.iso.eng.fl_str_mv eng
language eng
dc.relation.ispartof.eng.fl_str_mv International Journal of Mathematics and Mathematical Sciences, 5
dc.rights.uri.none.fl_str_mv https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.accessrights.eng.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.license.none.fl_str_mv Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)
dc.rights.coar.none.fl_str_mv http://purl.org/coar/access_right/c_abf2
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Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
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dc.publisher.eng.fl_str_mv Hindawi Publishing Corporation
institution Universidad ICESI
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